poc-daemon: fix idle nudge and notification delivery

- Strip context bloat from nudge messages — no more IRC digest, git
  log, or work state inlined into tmux send-keys (was silently dropping
  the entire message). Nudge now just includes pending notification count.
- Notifications no longer send directly via tmux — they flow through
  the idle nudge only. Urgent notifications reset the fired flag so
  the nudge fires sooner.
- Add test-nudge RPC that exercises the actual daemon send path
  (test-send was client-side only, didn't test the real code path).
- Update nudge text: "Let your feelings guide your thinking."
- Increase send-keys sleep from 200ms to 500ms.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

poc-daemon/src/idle.rs

@@ -276,7 +276,7 @@ impl State {
     /// Called when a notification arrives via module channel.
     /// Only injects into tmux when idle — if there's an active session
     /// (recent user or response), the hook delivers via additionalContext.
-    pub fn maybe_prompt_notification(&self, ntype: &str, urgency: u8, message: &str) {
+    pub fn maybe_prompt_notification(&mut self, ntype: &str, urgency: u8, message: &str) {
         if self.kent_present() {
             return; // hook will deliver it on next prompt
         }
@@ -286,9 +286,13 @@ impl State {
         if since_response < self.notify_timeout {
             return;
         }
+        // Don't send notifications via tmux directly — they flow
+        // through the idle nudge. Urgent notifications reset the
+        // idle timer so the nudge fires sooner.
         let effective = self.notifications.threshold_for(ntype);
-        if urgency >= effective {
-            self.send(&format!("[{ntype}] {message}"));
+        if urgency >= effective && self.fired {
+            // Bump: allow the nudge to re-fire for urgent notifications
+            self.fired = false;
         }
     }
 
@@ -424,7 +428,7 @@ impl State {
         }).to_string()
     }
 
-    fn send(&self, msg: &str) -> bool {
+    pub fn send(&self, msg: &str) -> bool {
         let pane = match &self.claude_pane {
             Some(p) => p.clone(),
             None => match tmux::find_claude_pane() {
@@ -470,7 +474,7 @@ impl State {
         true
     }
 
-    fn build_context(&mut self, include_irc: bool) -> String {
+    pub fn build_context(&mut self, include_irc: bool) -> String {
         // Ingest any legacy notification files
         self.notifications.ingest_legacy_files();
         let notif_text = self.notifications.format_pending(notify::AMBIENT);
@@ -587,7 +591,7 @@ impl State {
             } else {
                 format!(
                     "This is your time (Kent AFK {elapsed_min}m). \
-                     What are you drawn to?{extra}"
+                     Let your feelings guide your thinking.{extra}"
                 )
             }
         };